Atkin-Lehner |
2+ 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
90246d |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-5428248708636 = -1 · 22 · 35 · 137 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 3 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2089519,1161695761] |
[a1,a2,a3,a4,a6] |
Generators |
[252:25393:1] [824:95:1] |
Generators of the group modulo torsion |
j |
-209027245050714817/1124604 |
j-invariant |
L |
5.8729197472344 |
L(r)(E,1)/r! |
Ω |
0.51858145210021 |
Real period |
R |
1.4156213365589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942i1 |
Quadratic twists by: 13 |